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3 years ago

Y3x + 5

Mathematics

1 answer:

RoseWind [281]3 years ago

7 0

Answer: y=7

x=5

Step-by-step explanation:

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If x^2+1/x^2=3 find the value of x^2/(x^2+1)^2<br> Express answer as a common fraction.<br> Thanks!!

timama [110]

$x^2+\dfrac1{x^2}=3\implies x^4+1=3x^2\implies x^4-3x^2+1=0$

By the quadratic formula,

$x^2=\dfrac{3\pm\sqrt5}2\implies x^2+1=\dfrac{5\pm\sqrt5}2$

Then

$(x^2+1)^2=\dfrac{25\pm10\sqrt5+5}4=\dfrac{15\pm5\sqrt5}2$

$\implies\dfrac{x^2}{(x^2+1)^2}=\dfrac{\frac{3\pm\sqrt5}2}{\frac{15\pm5\sqrt5}2}=\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}$

Multiply numerator and denominator by the denominator's conjugate:

$\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}\cdot\dfrac{15\mp5\sqrt5}{15\mp5\sqrt5}=\dfrac{45\pm15\sqrt5\mp15\sqrt5-25}{15^2-(5\sqrt5)^2}=\dfrac{20}{100}=\dfrac15$

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3 years ago

HELP NOW Which table shows a proportional relationship between x and y? x 1 2 3 6 y 1.5 3 6 9 x 1 3 4 5 y 50 150 200 250 x 3 5 7

dem82 [27]

Answer: B - x 1 3 4 5 y 50 150 200 250

Step-by-step explanation: The equation is y = 50x

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4 years ago

Helppp with this question plzz

Gekata [30.6K]

Answer:

306

Step-by-step explanation:

There are 102 triangles, a triangle has 3 sides, each side is 1 cm. 102 x 3=306

6 0

3 years ago

The figure below shows the quotient of Fraction 2 over 5 divided by Fraction 1 over 10.

den301095 [7]

0.04 because if you divide it you get 0.04

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3 years ago

Write the following equation in the general form ax by c = 0. y - x - 1 = 0

Elena-2011 [213]

If you would like to write y - x - 1 = 0 in the general form, you can do this using the following steps:

The general form of the equation is: ax + by + c = 0.

y - x - 1 = 0

-x - y - 1 = 0

The correct result would be <span>-x - y - 1 = 0</span>.

8 0

4 years ago